10242122124201 has 32 divisors (see below), whose sum is σ = 14910281335296. Its totient is φ = 6202078512000.

The previous prime is 10242122124161. The next prime is 10242122124209.

10242122124201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10242122124201 - 2¹¹ = 10242122122153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10242122124209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199793365 + ... + 199844621.

It is an arithmetic number, because the mean of its divisors is an integer number (465946291728).

Almost surely, 2^{10242122124201} is an apocalyptic number.

10242122124201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10242122124201 is a deficient number, since it is larger than the sum of its proper divisors (4668159211095).

10242122124201 is a wasteful number, since it uses less digits than its factorization.

10242122124201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56293.

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 1024212 and 2124201, that added together give a palindrome (3148413).

The spelling of 10242122124201 in words is "ten trillion, two hundred forty-two billion, one hundred twenty-two million, one hundred twenty-four thousand, two hundred one".